M/M/1 retrial queue with working vacations and negative customer arrivals
by Tien Van Do; Dénes Papp; Ram Chakka; János Sztrik; Jinting Wang
International Journal of Advanced Intelligence Paradigms (IJAIP), Vol. 6, No. 1, 2014

Abstract: The M/M/1 retrial queue with working vacations and negative customers is introduced. The arrival processes of positive customers and negative customers are Poisson. Upon the arrival of a positive customer, if the server is busy the customer would enter an orbit of infinite size and the orbital customers send their requests for service with a constant retrial rate. The single server takes an exponential working vacation once customers being served depart from the system and no customers are in the orbit. Arriving negative customers kill a batch of the positive customers waiting in the orbit randomly. Efficient methodology to compute the stationary distribution for this new queue is developed and presented.

Online publication date: Sat, 28-Jun-2014

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